Cross density of states and mode connectivity: Probing wave localization in complex media

Abstract

We introduce the mode connectivity as a measure of the number of eigenmodes of a wave equation connecting two points at a given frequency. Based on numerical simulations of scattering of electromagnetic waves in disordered media, we show that the connectivity discriminates between the diffusive and the Anderson localized regimes. For practical measurements, the connectivity is encoded in the second-order coherence function characterizing the intensity emitted by two incoherent classical or quantum dipole sources. The analysis applies to all processes in which spatially localized modes build up, and to all kinds of waves.

References in corpus (4)

• Cavity Quantum Electrodynamics with Anderson-localized Modes
• Localized Modes in Open One-Dimensional Dissipative Random Systems
• Speckle fluctuations resolve the interdistance between incoherent point sources in complex media
• Quantum coherence of light emitted by two single-photon sources in a structured environment

Cited by in corpus (6)

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• Purcell effect with extended sources: The role of the cross density of states
• Collective single-photon emission and energy transfer in thin-layer dielectric and plasmonic systems